Solve 5x tan (8x ) =3x trig function, Mathematics

Assignment Help:

Solve 5x tan (8x ) =3x .

Solution : Firstly, before we even begin solving we have to make one thing clear.  DO NOT CANCEL AN x FROM BOTH SIDES!!! Whereas this may appear like a natural thing to do it WILL cause us to lose solution here.

Hence, to solve this equation first we'll get all the terms on one side of the equation & then factor out an x of the equation.  If we can cancel out an x from all terms then it can be factored out.  Doing this gives,

                                     5x tan (8x ) - 3x = x (5 tan(8x ) - 3) = 0

Upon factoring we can illustrates that we ought to have either,

                                   x= 0      OR      tan (8x ) = 3/5

Note as well that if we'd canceled out the x we would have missed the first solution.  Now, we solved out an equation along with a tangent in it in previous section hence we'll not go into the details of this solution here.  Following is the solution to the trig equation.

x= 0.0676 + ? n/4                                                 n= 0, ±1, ±2,..........

x= 0.4603 + ? n/4

The complete set of solutions then to the original equation is following,

x= 0

x= 0.0676 + ? n/4

x= 0.4603 + ? n/4

n= 0, ±1, ±2,..........


Related Discussions:- Solve 5x tan (8x ) =3x trig function

Inequation, Solve the inequation: |x|

Solve the inequation: |x|

Book 6b, one bathroom is 0.3m long how long is a row of 8 tiles

one bathroom is 0.3m long how long is a row of 8 tiles

Error in measurement, what is actual error and how do you find percentage e...

what is actual error and how do you find percentage error

Laws of indicies in fraction.., help to solve the laws of indicies chapter ...

help to solve the laws of indicies chapter 9c book 3 high school example19to the power3_2 what is answer

Calculus, application of radious of curvatur

application of radious of curvatur

Operations research, Explain Analytical Models in Operations Research with ...

Explain Analytical Models in Operations Research with Application

Holistic Marketing, Do you believe the holistic marketing concept is the mo...

Do you believe the holistic marketing concept is the most effective way to conduct marketing activities? Why? (Why not?)

Brian 100-yard dash time was 2.68 what is the school record, Brian's 100-ya...

Brian's 100-yard dash time was 2.68 seconds more than one school record. Brian's time was 13.4 seconds. What is the school record? The school record is less than Brian's time.

Multiplication of two complex numbers, Multiply the given below and write t...

Multiply the given below and write the answer in standard form. (2 - √-100 )(1 + √-36 ) Solution If we have to multiply this out in its present form we would get,  (2 -

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd